Arc-shaped structure factor in the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model on the triangular lattice

We study the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model with ferromagnetic \(J_1\) on the triangular lattice using the nematic bond theory. For parameters where the momentum space coupling function \(J_{\vec{q}}\) shows a discrete set of minima, we find that the system in general exhibits a...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-12
Main Authors: Glittum, Cecilie, Syljuåsen, Olav F
Format: Article
Language:English
Subjects:
Ferromagnetism
Heisenberg theory
High temperature
Low temperature
Parameters
Phase transitions
Statistical models
Structure factor
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Glittum, Cecilie
Syljuåsen, Olav F
description We study the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model with ferromagnetic \(J_1\) on the triangular lattice using the nematic bond theory. For parameters where the momentum space coupling function \(J_{\vec{q}}\) shows a discrete set of minima, we find that the system in general exhibits a single first-order phase transition between the high-temperature ring liquid and the low-temperature single-\(\vec{q}\) planar spiral state. Close to where \(J_{\vec{q}}\) shows a continuous minimum, we on the other hand find several phase transitions upon lowering the temperature. Most interestingly, we find an intermediate temperature "arc" regime, where the structure factor breaks rotational symmetry and shows a broad arc-shaped maximum. We map out the parameter region over which this arc regime exists and characterize details of its static structure factor over the same region.
doi_str_mv 10.48550/arxiv.2108.09120
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2563940542</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2563940542</sourcerecordid><originalsourceid>FETCH-proquest_journals_25639405423</originalsourceid><addsrcrecordid>eNqNy8FKAzEQxvEgCBbtA3gb8GIPu04mm7o9iijFs8eFJabTNiVu6iQRH1_FPoCn3-H_fUpda2y73lq8c_IVPlvS2Le40oRnakbG6KbviC7UPOcDItLynqw1M5UexDd57468gVyk-lKFYet8SQJhgrJnGG5fRj0sml_ppBkW4KPLOXgXYc0h8_TGsoP3tOEI6e9ZJLhpV6MTiK6U4PlKnW9dzDw_ealunp9eH9fNUdJH5VzGQ6oy_aSR7NKsOrQdmf-tvgH0bU4t</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2563940542</pqid></control><display><type>article</type><title>Arc-shaped structure factor in the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model on the triangular lattice</title><source>Publicly Available Content (ProQuest)</source><creator>Glittum, Cecilie ; Syljuåsen, Olav F</creator><creatorcontrib>Glittum, Cecilie ; Syljuåsen, Olav F</creatorcontrib><description>We study the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model with ferromagnetic \(J_1\) on the triangular lattice using the nematic bond theory. For parameters where the momentum space coupling function \(J_{\vec{q}}\) shows a discrete set of minima, we find that the system in general exhibits a single first-order phase transition between the high-temperature ring liquid and the low-temperature single-\(\vec{q}\) planar spiral state. Close to where \(J_{\vec{q}}\) shows a continuous minimum, we on the other hand find several phase transitions upon lowering the temperature. Most interestingly, we find an intermediate temperature "arc" regime, where the structure factor breaks rotational symmetry and shows a broad arc-shaped maximum. We map out the parameter region over which this arc regime exists and characterize details of its static structure factor over the same region.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2108.09120</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Ferromagnetism ; Heisenberg theory ; High temperature ; Low temperature ; Parameters ; Phase transitions ; Statistical models ; Structure factor</subject><ispartof>arXiv.org, 2021-12</ispartof><rights>2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2563940542?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>776,780,25730,27901,36988,44565</link.rule.ids></links><search><creatorcontrib>Glittum, Cecilie</creatorcontrib><creatorcontrib>Syljuåsen, Olav F</creatorcontrib><title>Arc-shaped structure factor in the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model on the triangular lattice</title><title>arXiv.org</title><description>We study the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model with ferromagnetic \(J_1\) on the triangular lattice using the nematic bond theory. For parameters where the momentum space coupling function \(J_{\vec{q}}\) shows a discrete set of minima, we find that the system in general exhibits a single first-order phase transition between the high-temperature ring liquid and the low-temperature single-\(\vec{q}\) planar spiral state. Close to where \(J_{\vec{q}}\) shows a continuous minimum, we on the other hand find several phase transitions upon lowering the temperature. Most interestingly, we find an intermediate temperature "arc" regime, where the structure factor breaks rotational symmetry and shows a broad arc-shaped maximum. We map out the parameter region over which this arc regime exists and characterize details of its static structure factor over the same region.</description><subject>Ferromagnetism</subject><subject>Heisenberg theory</subject><subject>High temperature</subject><subject>Low temperature</subject><subject>Parameters</subject><subject>Phase transitions</subject><subject>Statistical models</subject><subject>Structure factor</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNy8FKAzEQxvEgCBbtA3gb8GIPu04mm7o9iijFs8eFJabTNiVu6iQRH1_FPoCn3-H_fUpda2y73lq8c_IVPlvS2Le40oRnakbG6KbviC7UPOcDItLynqw1M5UexDd57468gVyk-lKFYet8SQJhgrJnGG5fRj0sml_ppBkW4KPLOXgXYc0h8_TGsoP3tOEI6e9ZJLhpV6MTiK6U4PlKnW9dzDw_ealunp9eH9fNUdJH5VzGQ6oy_aSR7NKsOrQdmf-tvgH0bU4t</recordid><startdate>20211201</startdate><enddate>20211201</enddate><creator>Glittum, Cecilie</creator><creator>Syljuåsen, Olav F</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20211201</creationdate><title>Arc-shaped structure factor in the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model on the triangular lattice</title><author>Glittum, Cecilie ; Syljuåsen, Olav F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_25639405423</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Ferromagnetism</topic><topic>Heisenberg theory</topic><topic>High temperature</topic><topic>Low temperature</topic><topic>Parameters</topic><topic>Phase transitions</topic><topic>Statistical models</topic><topic>Structure factor</topic><toplevel>online_resources</toplevel><creatorcontrib>Glittum, Cecilie</creatorcontrib><creatorcontrib>Syljuåsen, Olav F</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied &amp; Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Glittum, Cecilie</au><au>Syljuåsen, Olav F</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Arc-shaped structure factor in the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model on the triangular lattice</atitle><jtitle>arXiv.org</jtitle><date>2021-12-01</date><risdate>2021</risdate><eissn>2331-8422</eissn><abstract>We study the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model with ferromagnetic \(J_1\) on the triangular lattice using the nematic bond theory. For parameters where the momentum space coupling function \(J_{\vec{q}}\) shows a discrete set of minima, we find that the system in general exhibits a single first-order phase transition between the high-temperature ring liquid and the low-temperature single-\(\vec{q}\) planar spiral state. Close to where \(J_{\vec{q}}\) shows a continuous minimum, we on the other hand find several phase transitions upon lowering the temperature. Most interestingly, we find an intermediate temperature "arc" regime, where the structure factor breaks rotational symmetry and shows a broad arc-shaped maximum. We map out the parameter region over which this arc regime exists and characterize details of its static structure factor over the same region.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2108.09120</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2021-12
issn 2331-8422
language eng
recordid cdi_proquest_journals_2563940542
source Publicly Available Content (ProQuest)
subjects Ferromagnetism
Heisenberg theory
High temperature
Low temperature
Parameters
Phase transitions
Statistical models
Structure factor
title Arc-shaped structure factor in the \(J_1\)-\(J_2\)-\(J_3\) classical Heisenberg model on the triangular lattice
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-24T21%3A23%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Arc-shaped%20structure%20factor%20in%20the%20%5C(J_1%5C)-%5C(J_2%5C)-%5C(J_3%5C)%20classical%20Heisenberg%20model%20on%20the%20triangular%20lattice&rft.jtitle=arXiv.org&rft.au=Glittum,%20Cecilie&rft.date=2021-12-01&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2108.09120&rft_dat=%3Cproquest%3E2563940542%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_25639405423%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2563940542&rft_id=info:pmid/&rfr_iscdi=true